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Finding the Fourth Proportional to 65,001.68, 97,502.52 and 23,448.68

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Solution

The fourth proportional to 65,001.68, 97,502.52 and 23,448.68 is: 35,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001.68 : 97,502.52 = 23,448.68 : x
  2. Step 2: Convert to fraction form
    65,001.68/97,502.52 = 23,448.68/x
  3. Step 3: Cross multiply
    65,001.68x = 97,502.52 × 23,448.68
  4. Step 4: Simplify right side
    65,001.68x = 2,286,305,390.67
  5. Step 5: Solve for x
    x = 2,286,305,390.67/65,001.68
  6. Step 6: Final answer
    x = 35,173.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.